ON SCATTERING BY TIME-DEPENDENT POTENTIALS - THE 2-D CASE

被引:0
|
作者
FERREIRA, JA
MENZALA, GP
机构
[1] CTR NATL PESQUISA,BR-22290 RIO DE JANEIRO,BRAZIL
[2] UNIV FED RIO DE JANEIRO,IM,BR-21910 RIO DE JANEIRO,BRAZIL
关键词
D O I
10.1016/0022-247X(90)90033-C
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a real potential q(x, t) which has compact support in space x ∈ R2 and it is "damped." We study the solutions of utt - Δu + q(x, t) u = 0 showing that under additional technical assumptions on q the scattering operator exists. Our proofs are elementary. © 1990.
引用
收藏
页码:131 / 146
页数:16
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